To find the surface area of a polyhedron, you first need to find the area of each face and then add them all together.
1. Start by finding the area of the rectangular base. The formula for finding the area of a rectangle is length times width, so the area of the base is 7 times 3 which is 21.
2. Next, find the areas of the other four faces. Since the polyhedron has the same dimensions on all sides, all four side faces will have the same area. The formula for finding the area of a rectangle is length times height, so the area of each side face is 7 times 5 which is 35. There are four side faces, so the total area of the side faces is 35 times 4 which is 140.
3. Now, add together the area of the base and the area of the side faces to find the total surface area of the polyhedron. 21 (base) + 140 (side faces) = 161.
So, the surface area of the polyhedron with L-7, W-3, H-5 is 161 square units.
Find the surface area of the polyhedron with L-7, W-3, H-5 and show work as if a 7th grader did it
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